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3 years ago

15

Where can we put parentheses in the following expression to make it equivalent to 2?

1 answer:

N76 [4]3 years ago

4 0

The first answer

60/(10*3)

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Whats the distance between {-4 , 12} and {18 , 12}

belka [17]

You would need to use the distance formula.
Distance = Sqrt((x2-x1)^2+(y2-y1)^2)
Plug in your numbers
Distance = Sqrt((12+4)^2+(12-18)^2)
Distance = 17.09

4 0

4 years ago

Read 2 more answers

Write down a differential equation of the form dy/dt = ay + b whose solutions have the required behavior as t → ∞. all other sol

nordsb [41]

The ODE has an equilibrium point at

$\dfrac{\mathrm dy}{\mathrm dt}=ay+b=0\implies y=-\dfrac ba$

We want $y=2$ to be an unstable equilibrium solution - in other words, we want all solutions with initial condition $y(t_0)=c$ for $c$ near 2 to diverge from $y=2$ - so $-dfrac ba=2$ .

Divergence from $y=2$ would require that for $y>2$ , any solution is increasing, and for $y$ , and solution is decreasing. In order for that to happen, we need

$\dfrac{\mathrm dy}{\mathrm dt}=ay+b>0\implies y>-\dfrac ba$

if $y>2$ , and

$\dfrac{\mathrm dy}{\mathrm dt}=ay+b$

if $y$ .

Now we just pick $a,b$ to satisfy these conditions. An easy choice is $a=1$ , which forces $b=-2$ , so that one possible ODE would be

$\dfrac{\mathrm dy}{\mathrm dt}=y-2$

I've attached a plot of the slope field to demonstrate the behavior of the solutions.

6 0

3 years ago

What is the slope that crosses through the point (-4,-5) and (6,8)

Angelina_Jolie [31]

Slope = $\frac{Y2 - Y1}{X2 - X1}$

$\frac{8 - (-5)}{6 - (-4)}$

Your final answer is: $\frac{13}{10}$

5 0

3 years ago

Solve the following equation for X: 3+1/x

vladimir2022 [97]

Answer:

x=2

......

Step-by-step explanation:

x=3+1/x

x^2=4

x=2

6 0

3 years ago

Select the correct answer.

sp2606 [1]

The perimeter of the pentagon with apothem of 5cm is 28.87cm

<h3>How to calculate the perimeter of a pentagon</h3>

The sum of all the external sides of the pentagon is its perimeter.

First we need to calculate the half of one of its sides using the SOH CAH TOA

tan 30 = x/5

x = 5 tan 30

x = 2.89

One of the sides = 2(2.89) = 5.77 cm

Perimeter of th pentagon = 5(5.77) = 28.87

Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm

Learn more on perimeter of pentagon here: brainly.com/question/11484726

6 0

2 years ago